Search a number
-
+
102535127 = 237956431
BaseRepresentation
bin1100001110010…
…00111111010111
321010221022202022
412013020333113
5202222111002
614101403355
72353351142
oct607107727
9233838668
10102535127
1152973182
122a40955b
1318320696
14d891059
159005ba2
hex61c8fd7

102535127 has 8 divisors (see below), whose sum is σ = 108349440. Its totient is φ = 96833880.

The previous prime is 102535117. The next prime is 102535133. The reversal of 102535127 is 721535201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102535127 - 212 = 102531031 is a prime.

It is a super-2 number, since 2×1025351272 = 21026904537812258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102535096 and 102535105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102535117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26399 + ... + 30032.

It is an arithmetic number, because the mean of its divisors is an integer number (13543680).

Almost surely, 2102535127 is an apocalyptic number.

102535127 is a deficient number, since it is larger than the sum of its proper divisors (5814313).

102535127 is an equidigital number, since it uses as much as digits as its factorization.

102535127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56533.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 102535127 is about 10125.9630159309. The cubic root of 102535127 is about 468.0485360697.

It can be divided in two parts, 10253 and 5127, that multiplied together give a triangular number (52567131 = T10253).

The spelling of 102535127 in words is "one hundred two million, five hundred thirty-five thousand, one hundred twenty-seven".

Divisors: 1 23 79 1817 56431 1297913 4458049 102535127